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12334041012041 = 7311011511372443
BaseRepresentation
bin1011001101111011111000…
…1000100001011101001001
31121200010022112011201022022
42303132332020201131021
53104040103444341131
642122102532134225
72412051014532050
oct263367610413511
947603275151268
1012334041012041
113a25923670301
121472505467375
136b6130b64368
14308d83b17397
15165c83d8037b
hexb37be221749

12334041012041 has 32 divisors (see below), whose sum is σ = 14704589684736. Its totient is φ = 10122973560000.

The previous prime is 12334041012011. The next prime is 12334041012047. The reversal of 12334041012041 is 14021014043321.

It is not a de Polignac number, because 12334041012041 - 26 = 12334041011977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12334041012041.

It is not an unprimeable number, because it can be changed into a prime (12334041012047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32930366 + ... + 33302808.

It is an arithmetic number, because the mean of its divisors is an integer number (459518427648).

Almost surely, 212334041012041 is an apocalyptic number.

It is an amenable number.

12334041012041 is a deficient number, since it is larger than the sum of its proper divisors (2370548672695).

12334041012041 is a wasteful number, since it uses less digits than its factorization.

12334041012041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374093.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12334041012041 its reverse (14021014043321), we get a palindrome (26355055055362).

The spelling of 12334041012041 in words is "twelve trillion, three hundred thirty-four billion, forty-one million, twelve thousand, forty-one".

Divisors: 1 7 31 101 217 707 1511 3131 10577 21917 46841 152611 327887 372443 1068277 2607101 4730941 11545733 33116587 37616743 80820131 263317201 562761373 1166119033 3939329611 8162833231 17445602563 56838898673 122119217941 397872290711 1762005858863 12334041012041